Pertanyaan

Bentuk sederhana di bawah ini adalah .... ( 9 − 2 a − 9 b − 7 3 − 3 a − 7 b 2 ) 5

Bentuk sederhana di bawah ini adalah ....

$(\frac{3 ^{- 3} a ^{- 7} b ^{2}}{9 ^{- 2} a ^{- 9} b ^{- 7}})^{5}$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari $open parentheses fraction numerator 3 to the power of negative 3 end exponent straight a to the power of negative 7 end exponent straight b squared over denominator 9 to the power of negative 2 end exponent straight a to the power of negative 9 end exponent straight b to the power of negative 7 end exponent end fraction close parentheses to the power of 5$ adalah 3 to the power of 5 straight a to the power of 10 straight b to the power of 45

3 to the power of 5 straight a to the power of 10 straight b to the power of 45

Pembahasan

Ingat kembali: Maka: Jadi, bentuk sederhana dari adalah .

Ingat kembali:

straight a to the power of straight m over straight a to the power of straight n equals straight a to the power of straight m minus straight n end exponent open parentheses straight a to the power of straight m close parentheses to the power of straight n equals straight a to the power of straight m cross times straight n end exponent

Maka:

$open parentheses fraction numerator 3 to the power of negative 3 end exponent straight a to the power of negative 7 end exponent straight b squared over denominator 9 to the power of negative 2 end exponent straight a to the power of negative 9 end exponent straight b to the power of negative 7 end exponent end fraction close parentheses to the power of 5 equals open parentheses 3 to the power of negative 3 end exponent over open parentheses 3 squared close parentheses to the power of negative 2 end exponent cross times straight a to the power of negative 7 minus open parentheses negative 9 close parentheses end exponent cross times straight b to the power of 2 minus open parentheses negative 7 close parentheses end exponent close parentheses to the power of 5 space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses 3 to the power of negative 3 end exponent over 3 to the power of negative 4 end exponent cross times straight a squared cross times straight b to the power of 9 close parentheses to the power of 5 space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses 3 to the power of negative 3 minus open parentheses negative 4 close parentheses end exponent cross times straight a squared cross times straight b to the power of 9 close parentheses to the power of 5 space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses 3 to the power of 1 cross times straight a squared cross times straight b to the power of 9 close parentheses to the power of 5 space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses 3 to the power of 1 close parentheses to the power of 5 cross times open parentheses straight a squared close parentheses to the power of 5 cross times open parentheses straight b to the power of 9 close parentheses to the power of 5 space space space space space space space space space space space space space space space space space space space space space space space equals 3 to the power of 5 cross times straight a to the power of 10 cross times straight b to the power of 45 space space space space space space space space space space space space space space space space space space space space space space space equals 3 to the power of 5 straight a to the power of 10 straight b to the power of 45$

Jadi, bentuk sederhana dari $open parentheses fraction numerator 3 to the power of negative 3 end exponent straight a to the power of negative 7 end exponent straight b squared over denominator 9 to the power of negative 2 end exponent straight a to the power of negative 9 end exponent straight b to the power of negative 7 end exponent end fraction close parentheses to the power of 5$ adalah 3 to the power of 5 straight a to the power of 10 straight b to the power of 45 .